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Finding the Fourth Proportional to 54.18, 80.75 and 53.75

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Solution

The fourth proportional to 54.18, 80.75 and 53.75 is: 80.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.18 : 80.75 = 53.75 : x
  2. Step 2: Convert to fraction form
    54.18/80.75 = 53.75/x
  3. Step 3: Cross multiply
    54.18x = 80.75 × 53.75
  4. Step 4: Simplify right side
    54.18x = 4,340.65
  5. Step 5: Solve for x
    x = 4,340.65/54.18
  6. Step 6: Final answer
    x = 80.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.